Methods of Homological Algebra

S. I. Gelfand, Y .I. Manin

370 pages, parution le 13/08/2003 (2^eme édition)

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Résumé

Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections.

I. Simplical Sets
II. Main Notions of the Category Theory
III. Derived Categories and Derived Functors
IV. Triangulated Categories
V. Introduction to Homotopic Algebra.

L'auteur - S. I. Gelfand

American Mathematical Society, Providence, RI, USA

L'auteur - Y .I. Manin

Max-Planck-Institut für Mathematik, Bonn, Germany

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	S. I. Gelfand, Y .I. Manin
Parution	13/08/2003
Édition	2^eme édition
Nb. de pages	370
Format	16 x 24
Couverture	Relié
Poids	700g
Intérieur	Noir et Blanc
EAN13	9783540435839